Geodesic
Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 14-22 
T. N. Fomenko. Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 14-22. http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a2/
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     author = {T. N. Fomenko},
     title = {Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The cascade search principle for zeros of $(\alpha,\beta)$-search functionals and consequent fixed point and coincidence theorems are proved for collections of single-valued and set-valued mappings of $(b_1,b_2)$-quasimetric spaces. These results are extensions of some previous author's results in metric spaces. In particular, a generalization is obtained for some recent result on coincidences of a covering mapping and a Lipshitzian mappings of $(b_1,b_2)$-quasimetric spaces.

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